摘要
本文给出了θ-紧空间的概念,并用特殊的复盖和滤子加以刻划,讨论了θ-紧空间的半正则化和θ-连续映射,证明了紧与Hausdorffθ-紧空间的积空间是θ-紧的.
In this paper,the concept of θ-compact space characterized in terms of special cover and filter is given,properties of semiregularization of θ-compact space and θ-continuous mapping are discussed,and it is proved that a product of a compact space
and a Hausdorff θ-compact space is θ-compact.
出处
《辽宁师范大学学报(自然科学版)》
CAS
1993年第2期111-115,共5页
Journal of Liaoning Normal University:Natural Science Edition
关键词
θ-闭
θ-紧空间
θ-连续映射
θ-closed
θ-compact space
θ-continuous mapping
semiregularization